2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140860Mixing in fully developed incompressible turbulent flows is known to lead to a cascade of discontinuity fronts of passive scalar fields. A one-dimensional (1D) variant of Baker's map is developed, capturing the main mechanism responsible for the emergence of these discontinuities. For this 1D model, expressions for the height-distribution function of the discontinuity fronts and structure function scaling exponents $ζ_p$ are derived [for Kolmogorov turbulence, $ζ_p=\frac 23\log_3(p+1)$]. These analytic findings are in a good agreement with both our 1D simulations, and the results of earlier numerical and experimental studies.4 pagesFluid DynamicsAtmospheric and Oceanic Physicstext